Propriétés d'unicité des supplémentaires
Pure Baer injective modules.
Purity and direct summands.
QTAG torsionfree modules
The structure theory of abelian -groups does not depend on the properties of the ring of integers, in general. The substantial portion of this theory is based on the fact that a finitely generated -group is a direct sum of cyclics. Given a hereditary torsion theory on the category -Mod of unitary left -modules we can investigate torsionfree modules having the corresponding property for all torsionfree factor-modules (and a natural requirement concerning extensions of some homomorphisms). This...
Quasi-projective modules and the finite exchange property.
Quotients of reflexive modules
Rad-supplemented modules
Reduction Theorems for Endomorphism Near-Rings.
Relative injectivity and CS-modules.
Remarks on Sekine quantum groups
We first describe the Sekine quantum groups (the finite-dimensional Kac algebra of Kac-Paljutkin type) by generators and relations explicitly, which maybe convenient for further study. Then we classify all irreducible representations of and describe their representation rings . Finally, we compute the the Frobenius-Perron dimension of the Casimir element and the Casimir number of .
Remarque sur les sommes directes des modules de type dénombrable
Representation-finite algebras and multiplicative bases.
Right Symbolic Powers and Classical Localization in Right Noetherian Rings.
Ringe mit nichtkommutativer Addition I.
Ringe mit verallgemeinerter Kupischreihe.
Rings decomposed into direct sums of J-rings and nil rings.
Rings in which every proper right ideal is maximal
Rings which are semilattices of archimedean semigroups.
Rings whose modules are finitely generated over their endomorphism rings
A module M is called finendo (cofinendo) if M is finitely generated (respectively, finitely cogenerated) over its endomorphism ring. It is proved that if R is any hereditary ring, then the following conditions are equivalent: (a) Every right R-module is finendo; (b) Every left R-module is cofinendo; (c) R is left pure semisimple and every finitely generated indecomposable left R-module is cofinendo; (d) R is left pure semisimple and every finitely generated indecomposable left R-module is finendo;...
Rings whose modules have maximal submodules.
A ring R is a right max ring if every right module M ≠ 0 has at least one maximal submodule. It suffices to check for maximal submodules of a single module and its submodules in order to test for a max ring; namely, any cogenerating module E of mod-R; also it suffices to check the submodules of the injective hull E(V) of each simple module V (Theorem 1). Another test is transfinite nilpotence of the radical of E in the sense that radα E = 0; equivalently, there is an ordinal α such that radα(E(V))...